Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
Let s and c be the rate of the boat in still water and the rate of the current, respectively. Then:
108/s-c=3
108/s+c=2
3s-3c=108
2s+2c=108
Solve for s and c
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Answer:
Exponential
Step-by-step explanation:
I have worked with this functions before.
Area of the triangle:
A = 1/2 · c · b · sin A =
= 1/2 · 30 · 14 · 0.766 ≈ 160.87 ft²
Answer: 160.87 ft²
Given:
The graph of an exponential function.
To find:
The function in the form of 
.
Solution:
The general form of an exponential function is
...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,
For x=1 and f(x)=7,
Putting a=4, we get
Substitute a=4 and 
in (i).
Therefore, the required exponential function is .
